**2024-04-18**| 01 - Motion with Constant Acceleration in Physics (Constant Acceleration Equations)

Math and Science
01 - Motion with Constant Acceleration in Physics (Constant Acceleration Equations)

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**2023-03-17**| Join us as we dive into the fascinating world of photons and explore the incredible properties of these tiny light particles! In this video, we'll illuminate the concept of a photon, its characteristics, and its significance in the world around us. The concept of light has intrigued scientists for centuries. Join us in this enlightening journey as we unravel the mystery of photons, the fundamental particles of light that carry both energy and information throughout the universe. From solar power to fiber optic communication, understanding photons is key to harnessing their power and advancing technology.

**2023-03-17**| In this video, we will explore the basic concepts of variables and expressions, and how they are used in mathematics.

Variables are symbols or letters used to represent unknown or changing values in equations or mathematical expressions. Expressions are combinations of variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division.

In this video, we will take a closer look at how variables and expressions are used in algebraic equations and how they can help us solve complex problems. We will also explore some common expressions used in mathematics, such as polynomials, rational expressions, and exponential expressions.

Furthermore, we will discuss the difference between variables and constants, and how they are used in mathematical equations. We will also cover some tips and tricks for simplifying expressions and solving equations.

By the end of this video, you will have a better understanding of variables and expressions in mathematics and how they are used to solve problems in various fields, such as science, engineering, and finance. So sit back, relax, and join us on this journey into the fascinating world of math!

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**2023-03-16**| Welcome to this tutorial on how to simplify math expressions quickly and easily! In this video, we will explore some simple yet powerful techniques that you can use to simplify even the most complex math expressions with ease.

Whether you are a student struggling with math homework or an adult looking to refresh your math skills, this tutorial will provide you with the tools you need to simplify math expressions quickly and efficiently.

Throughout the video, we will use clear and concise examples to illustrate each step of the simplification process, making it easy for you to follow along and apply these techniques to your own math problems.

So if you're ready to master the art of simplifying math expressions, join us and discover just how easy and fun math can be!

**2023-03-15**| What is a magnetic field? In this video, we delve into the world of magnetism and help you unravel the mysteries behind magnetic fields. This captivating topic has intrigued scientists and laypeople alike for centuries, and we're here to break it down in a way that's both informative and engaging.

We start by explaining the basics of magnetism and how it relates to electricity. Then, we dive into the concept of magnetic fields, discussing their origins and the forces they exert on moving charges and magnetic materials. We'll also cover the properties of magnetic fields, such as their direction, strength, and the way they interact with other magnetic fields.

Throughout the video, we use vivid animations, real-life examples, and hands-on demonstrations to bring the concepts to life. This makes it easier for you to visualize and understand the principles behind magnetic fields, whether you're a student, teacher, or simply someone curious about the world around you.

By the end of this video, you'll have a solid understanding of magnetic fields, including:

The fundamentals of magnetism and its connection to electricity

The origin and properties of magnetic fields

How magnetic fields interact with charged particles and other magnetic fields

The real-world applications of magnetic fields, from everyday gadgets to cutting-edge technologies

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Twitter: https://twitter.com/JasonGibsonMath

**2023-03-15**| In this video, we will explore the basic concepts and principles of chemistry, and how it impacts our daily lives.

Chemistry is a fascinating and essential field of study that involves the examination and manipulation of atoms and molecules. It is the scientific study of matter and its properties, and how it interacts and transforms with other matter.

In this video, we will dive deeper into the fundamental concepts of chemistry, such as the periodic table, chemical reactions, and the properties of different elements and compounds. We will also discuss the importance of chemistry in various industries, including pharmaceuticals, plastics, energy, and agriculture.

Furthermore, we will explore how chemistry plays a crucial role in addressing global challenges, such as climate change, pollution, and sustainability. We will highlight how chemists work to develop new materials, technologies, and processes to help solve these problems and improve our world.

By the end of this video, you will have a better understanding of the importance of chemistry and how it impacts our daily lives. So sit back, relax, and join us on this journey into the fascinating world of chemistry!

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**2023-03-14**| Welcome to our comprehensive guide on simplifying expressions in algebra! In this video, we take a deep dive into the world of algebraic expressions, breaking down the key concepts and techniques you need to know to simplify expressions with ease.

We start by exploring the basic building blocks of algebraic expressions, such as variables, coefficients, and terms. Next, we discuss the importance of combining like terms, showcasing step-by-step methods to identify and simplify them. Then, we move on to exploring the distributive property and how it can be used to simplify more complex expressions.

Throughout the video, we provide clear explanations and engaging examples to help you grasp the fundamentals. Our goal is to make algebra accessible and enjoyable, whether you're a student learning it for the first time or someone looking to refresh their skills.

By the end of this video, you'll have a solid understanding of how to simplify expressions in algebra, including:

Identifying like terms and combining them

Using the distributive property to simplify expressions

Recognizing and applying inverse operations

Simplifying expressions involving exponents and radicals

So join us on this algebraic adventure as we unravel the mysteries of simplifying expressions and empower you to tackle any algebraic problem with confidence. Don't forget to like, comment, and subscribe for more educational content!

**2023-03-14**| We learn the fundamental concept of order of operations and how it applies to simplifying mathematical expressions. From the basic rules of PEMDAS to more complex examples involving exponents and parentheses, we cover everything you need to know to master this essential skill.

We'll start by breaking down the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and show you how to apply it correctly to solve expressions. We'll then move on to more challenging examples, such as those involving multiple sets of parentheses or nested exponents.

Throughout the video, we'll provide step-by-step explanations and demonstrations of each concept, so you can follow along and learn at your own pace. By the end of the video, you'll have a solid understanding of order of operations and how to simplify mathematical expressions like a pro.

So whether you're a student looking to improve your math skills or simply looking to brush up on your fundamentals, this video is a must-watch. Join us as we dive into the world of order of operations and simplify expressions!

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**2023-03-13**| In this fascinating video, we explore the power of the Stirling Heat Engine by running it on various extreme temperatures! Join us as we push the limits of this incredible machine and witness its maximum power output. We'll begin by demonstrating the engine's function and discussing the principles of thermodynamics. Then, we'll show you how we take it to the next level by running it on boiling water, dry ice, and liquid nitrogen. Watch as the Stirling Heat Engine responds to these extreme temperatures and produces its maximum output! We'll also discuss the practical applications of this technology and how it's used in various industries. Don't miss out on this incredible experience – tune in now to witness the power of the Stirling Heat Engine!

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**2023-03-12**| Are you struggling to understand the order of operations and how to simplify expressions? We are here to help!

In this informative tutorial, we'll dive into the basic principles of the order of operations, which tell us how to evaluate mathematical expressions correctly. You'll learn about the key rules of the order of operations, including which operations should be performed first, and how to use parentheses to alter the order of operations.

We'll also cover simplifying expressions, which is an essential skill in math that involves taking a complex expression and reducing it to its simplest form. You'll learn a range of helpful techniques for simplifying expressions, including combining like terms, factoring, and distributing.

Throughout the video, we'll work through a variety of examples and practice problems to help you solidify your understanding of these important concepts. By the end of the video, you'll have a clear grasp of the order of operations and how to simplify expressions, setting you up for success in your math studies.

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**2023-03-10**| Here we explore the fascinating world of liquid nitrogen by freezing a banana! Join us as we delve into the science behind this amazing substance and witness firsthand the incredible effects it can have on everyday objects. Watch as we dip a banana into the liquid nitrogen and watch it freeze before your very eyes. We'll discuss the physical change that occur when a substance is exposed to extreme cold and explore the many practical applications of liquid nitrogen in various fields. Don't miss out on this incredible experience – tune in now to see the magic of liquid nitrogen in action!

**2023-03-09**| In this video, we will learn how to solve inequalities in algebra, one of the fundamental concepts in mathematics. Inequalities are used to compare two expressions or values, and they are represented by symbols.

To begin, we will go over the basic rules of inequalities and their symbols. Then, we will explore how to solve linear inequalities by isolating the variable on one side of the equation. We will also cover how to graph and interpret inequalities on a number line.

Next, we will move on to solving quadratic inequalities, which involve finding the solutions to an inequality involving a quadratic expression. We will use a variety of methods, including factoring and the quadratic formula, to solve these types of inequalities.

Throughout the video, we will work through several examples to demonstrate the process of solving inequalities step-by-step. We will also provide tips and strategies for approaching more complex inequalities.

Whether you're a student looking to improve your algebra skills or someone who wants to refresh their knowledge of inequalities, this video will provide a comprehensive overview of the topic. By the end of this tutorial, you will have a solid understanding of how to solve different types of inequalities in algebra.

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**2023-03-08**| Have you ever looked up at the sky and wondered why it's blue? In this video, we dive deep into the science of Rayleigh scattering to uncover the mystery behind this fascinating phenomenon.

Rayleigh scattering is the scientific explanation for why the sky appears blue during the daytime. Essentially, when sunlight enters the Earth's atmosphere, it encounters various molecules and particles such as nitrogen, oxygen, and water vapor. These particles scatter the light in all directions, but shorter blue wavelengths are scattered more than the longer red wavelengths, giving the sky its distinct blue hue.

In this video, we explore the history of Rayleigh scattering and how it was first discovered by Lord Rayleigh in the late 19th century. We also delve into the physics behind the phenomenon, discussing why shorter wavelengths are scattered more than longer ones.

Additionally, we look at how other factors such as pollution and weather conditions can affect the color of the sky, and we examine some interesting examples of Rayleigh scattering in action, including the stunning blue color of the Earth's atmosphere when viewed from space.

By the end of this video, you'll have a deeper understanding of the science behind the blue sky and the fascinating phenomenon of Rayleigh scattering. So sit back, relax, and let's explore the wonders of our atmosphere together.

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**2023-03-07**| Here we will explore the basic concepts of electricity, voltage, current, and electrical resistance.

Electricity is a form of energy resulting from the movement of charged particles, such as electrons. It can be found in nature, for example in lightning strikes, but it's also harnessed and used in a variety of man-made devices, from light bulbs to smartphones.

Voltage, or electric potential difference, is the measure of how much electrical energy is carried per unit of electric charge. It's often described as the "pressure" that pushes electrical current through a circuit. Voltage is measured in volts (V).

Current, on the other hand, refers to the flow of electrical charge in a circuit. It's measured in amperes (A) and it's often described as the "rate" at which electricity flows through a circuit. Electrical current is what powers electrical devices and it's essential for any electrical system to function.

Finally, we have electrical resistance, which is the measure of how much an object or material opposes the flow of electrical current through it. Resistance is measured in ohms (Ω) and it determines how much voltage is needed to produce a certain amount of current. Resistors are used in electronic circuits to control the flow of current and to reduce the amount of energy that's dissipated as heat.

Understanding these basic concepts of electricity, voltage, current, and electrical resistance can help you to better understand the inner workings of electronic devices and electrical systems. We hope this short video has been informative and helpful!

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**2023-03-06**| In this video, we will show you how to build an electric motor from scratch using simple materials that can be found around the house. We'll explain the science behind how electric motors work, including the principles of electromagnetism and magnetic fields. You'll learn how to construct the motor's basic components and see how they work together to produce rotational motion.

We'll also cover the essential tools and equipment you'll need to build your electric motor, including wire, magnets, and a battery. Throughout the video, we'll provide step-by-step instructions and helpful tips to guide you through the construction process.

By the end of the video, you'll have a working electric motor that you can use for various projects and experiments. Whether you're a science enthusiast, a DIY enthusiast, or just curious about how electric motors work, this video is sure to be both educational and entertaining.

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**2023-03-06**| Welcome to our this lesson on voltage, current, and resistance in electric circuits! In this video, we will explore the fundamental concepts of electricity and learn how to build real circuits to better understand these principles.

First, we'll start with an overview of the basic components of an electric circuit, including the voltage source, jumpers, wire, resistors, light bulbs, and switches. We'll explore what these terms mean and how they are related to one another, using simple explanations and diagrams to help you grasp the concepts.

Next, we'll dive into the practical aspects of building a circuit. We'll show you how to identify the different components you need and how to connect them properly to create a functional circuit. You'll learn about different types of circuits, including series and parallel circuits, and how to calculate the total resistance in a circuit.

Then, we'll move on to hands-on activities where we'll build real circuits using common household materials. You'll get a chance to put your new knowledge to the test and see for yourself how voltage, current, and resistance work in real-life situations.

By the end of this video, you'll have a solid understanding of the basic principles of electric circuits and how to build and analyze them. Whether you're a student learning about electricity for the first time or someone looking to brush up on your knowledge, this video is the perfect resource to get started. So, grab your materials and let's get started!

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**2023-03-03**| In this video, we will dive deep into the world of gases and explore the Ideal Gas Law. This fundamental law of chemistry describes the behavior of gases under different conditions of temperature, pressure, and volume. Whether you're a chemistry student or simply interested in learning more about the properties of gases, this video is perfect for you.

We'll start by defining the Ideal Gas Law and discussing the variables that influence the behavior of gases. Then, we'll go through a step-by-step derivation of the equation and show you how to use it to solve problems in chemistry. Along the way, we'll provide plenty of examples and visual aids to help you better understand the concepts.

By the end of the video, you'll have a solid understanding of the Ideal Gas Law and how it applies to real-world situations. You'll also be equipped with the skills to calculate gas properties and use the Ideal Gas Law to make predictions about gas behavior.

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**2023-03-02**| In this video, we will explore the science behind the blue color of the sky and the role of Rayleigh scattering in creating this phenomenon.

Have you ever looked up at the sky and wondered why it appears blue? Well, the answer lies in the way that light interacts with the Earth's atmosphere. The sunlight that reaches our planet is made up of a range of different colors, from red to violet. When this light enters the atmosphere, it encounters gas molecules and tiny particles such as dust and water droplets. These particles scatter the light in all directions, which is why the sky appears bright during the day.

However, the scattering of sunlight is not uniform across the entire spectrum of colors. Shorter wavelength colors, such as blue and violet, are scattered more than longer wavelengths like red and orange. This phenomenon is known as Rayleigh scattering, named after the British physicist Lord Rayleigh who first described it in the late 19th century.

The reason why blue is scattered more than other colors is because of its shorter wavelength. This means that as the sunlight enters the atmosphere, the blue light is scattered in all directions much more than the other colors, making the sky appear blue to us on the ground.

So, to sum up, the blue color of the sky is due to the scattering of sunlight by particles in the Earth's atmosphere, with shorter wavelength colors like blue being scattered more than longer wavelengths. This is known as Rayleigh scattering, and it is why the sky appears blue to us.

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**2023-03-01**| The human nose is capable of detecting a vast array of scents, with estimates ranging from 10,000 to 100,000 different odors. This impressive feat is due to the millions of olfactory receptors in the nose that can distinguish between various volatile molecules. However, compared to dogs, humans have a relatively limited sense of smell. Dogs have approximately 300 million olfactory receptors, which allows them to detect scents that are imperceptible to humans. Dogs are commonly used for tasks such as tracking, detecting explosives, and identifying diseases, demonstrating their superior olfactory capabilities. Overall, while the human nose is still a remarkable sensory organ, dogs have a much more acute sense of smell.

**2023-03-01**| In this video tutorial, we will walk you through the process of graphing the tangent and cotangent functions. We will start by discussing the basic characteristics of these functions, including their domain and range, period, and asymptotes.

Next, we will show you how to create a table of values for the tangent and cotangent functions, which will help you to plot their graphs more accurately. We will also demonstrate how to use the properties of the tangent and cotangent functions to sketch their graphs by hand.

We will then go over some common misconceptions about the tangent and cotangent functions and provide some tips for avoiding these pitfalls when graphing them.

Whether you are a student learning about these functions for the first time or a math teacher looking for a refresher, this video will provide you with a comprehensive guide to graphing the tangent and cotangent functions. So sit back, relax, and let's get started!

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**2023-02-28**| Did you know that the largest living organism on Earth is a fungus? In fact, this massive underground fungus in Oregon covers an area of over 2,200 acres and is estimated to be around 2,400 years old! This gigantic fungus, which is a type of honey mushroom, is known as the "Humongous Fungus" and is visible only through the mushrooms that occasionally pop up above the ground.

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**2023-02-27**| Have you ever wondered how magnets work? In this video, we'll dive into the fascinating world of magnetism and explore the fundamental principles behind it. We'll cover everything from magnetic fields and magnetic flux to flux density and compass deflection.

First, we'll discuss magnetic fields and how they create invisible force fields around magnets. We'll also explain how magnetic fields are produced by moving charges, such as electrons. Then, we'll explore magnetic flux, which is a measure of the number of magnetic field lines passing through a given area.

Next, we'll delve into flux density, which describes the strength of the magnetic field in a specific area. We'll show you how to calculate flux density using mathematical formulas and explain why it's essential to understand this concept in the study of magnetism.

We'll also explain how a compass works and demonstrate how it can detect the magnetic field of a magnet. This phenomenon is known as compass deflection and is a crucial tool for scientists studying magnetic fields.

Moving on, we'll introduce the concept of electromagnets, which are artificial magnets created by passing an electrical current through a coil of wire. We'll explain how electromagnets work and how they're used in everyday life, from MRI machines to electric motors.

Finally, we'll touch on the quantum nature of magnetism, which is a fascinating topic that explores the behavior of magnetic particles at the atomic and subatomic level. We'll discuss how magnetism arises from the spin of electrons and how this phenomenon can be harnessed for use in modern technology.

By the end of this video, you'll have a comprehensive understanding of the science of magnets and the fundamental principles behind their behavior.

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**2023-02-24**| In this video, we delve into the world of magnetism and explore the relationship between electric currents and magnetic fields. The video begins by explaining the basics of magnetism and the properties of magnetic fields.

Next, the video demonstrates how electric currents can create magnetic fields. Through a series of engaging experiments, the video shows how a current flowing through a wire can produce a magnetic field around the wire. We see how the strength of the magnetic field depends on the amount of current flowing through the wire.

The video also highlights the importance of the direction of the current flow in creating magnetic fields. We see how reversing the direction of the current changes the direction of the magnetic field, which in turn affects the behavior of nearby magnets and magnetic materials.

Throughout the video, clear and concise explanations are provided to help viewers understand the concepts being demonstrated. The video also includes captivating animations that help to illustrate the complex interactions between electric currents and magnetic fields.

By the end of the video, viewers will have gained a deeper understanding of how electric currents create magnetic fields, and how these fields can be harnessed in a wide range of applications. This video is an excellent resource for anyone interested in the science of magnetism and its practical applications.

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**2023-02-24**| Are you struggling with projectile motion problems in physics? In this video, we'll show you how to solve them step-by-step!

We'll start by explaining what projectile motion is and how to break it down into its horizontal and vertical components. From there, we'll teach you how to use kinematic equations to solve for key variables like time, velocity, and displacement.

But that's not all! We'll also cover more complex problems, such as those involving objects launched at an angle, and show you how to use trigonometry to find the necessary components.

By the end of this video, you'll have a solid understanding of projectile motion and the skills needed to tackle even the toughest problems. So whether you're studying for an exam or just want to deepen your understanding of physics, this video is for you!

View more lessons at: www.MathAndScience.com

**2023-02-22**| Here we discuss the discovery of the closest black hole to Earth ever detected by astronomers. We delve into the science behind black holes and their properties, and explain how this particular black hole was found. Join us as we journey through space and uncover the secrets of this incredible phenomenon that continues to intrigue and astound scientists and stargazers alike.

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**2023-02-22**| Balancing chemical reactions is a fundamental skill in chemistry that is essential for understanding the behavior of matter and reactions. In this video, we'll dive into the world of chemical reactions and explore the step-by-step process of balancing them. We'll cover the basics of chemical equations, discuss the importance of the Law of Conservation of Mass, and walk through several examples of balancing chemical reactions. By the end of the video, you'll have a solid understanding of the principles of balancing chemical reactions, as well as some tips and tricks to make the process easier. Whether you're a student just starting out in chemistry or a seasoned professional, this video will help you master the art of balancing chemical reactions and take your chemistry skills to the next level.

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**2023-02-20**| Have you ever wondered why the seasons change? In this video, we will delve into the science behind the seasons and explain the factors that cause the shift from winter to spring, summer to fall, and back again.

We will begin by exploring the Earth's axial tilt and its relationship with the sun. Through the use of engaging visuals and clear explanations, we will demonstrate how the angle at which the Earth is tilted determines the amount of sunlight received by different parts of the planet throughout the year.

We will also discuss the effects of the Earth's revolution around the sun, including the changes in the length of daylight hours and the variation in the intensity of sunlight received at different latitudes. We will also explore the concept of the equinoxes and solstices and their significance in marking the changing of the seasons.

Our video will provide a comprehensive explanation of the factors that influence the seasons and the scientific concepts behind them. Whether you are a student looking to expand your knowledge or a curious learner seeking to understand the world around you, this video is for you.

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**2023-02-19**| Have you ever wondered how to find the volume of a cone? In this video, we will provide a clear and easy-to-follow explanation of the concept of cone volume. We will begin by introducing the basic formula for calculating the volume of a cone and breaking it down into its component parts.

Next, we will use real-life examples and visuals to demonstrate how to measure and calculate the volume of a cone. We will explore the relationship between the height and radius of a cone and how they impact the volume of the cone. We will also explain how to convert the measurements to the appropriate units of measurement.

We will provide step-by-step instructions on how to apply the formula to solve for the volume of a cone, and we will demonstrate some common applications of this formula in the real world. By the end of this video, you will have a clear understanding of the volume of a cone and the skills to calculate it for yourself.

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**2023-02-18**| We discuss how the DNA in a single human cell is around 2 meters in length if it is uncoiled and stretched out.

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**2023-02-17**| MIT has developed a self replicated robotic system that can autonomously construct structures and other robots.

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**2023-02-17**| In this lesson, you will learn what a periodic function is and how to determine the period. A periodic function is a function that repeats over and over again. The period is how long it takes for the function to repeat the pattern. An even and odd function has to do with the symmetry with respect to the y-axis.

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**2023-02-16**| New JWST image shows thousands of galaxies in this deep field image. A large prominent galaxy appears near the bottom along with a smaller companion galaxy.

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**2023-02-15**| Here we will discuss the Mpemba effect, where warm water can freeze faster than cold water. The effect doesn't always occur, and many theories have been put forward to explain it.

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**2023-02-15**| In this lesson, we will learn about polar coordinates. A polar coordinate is when we specify a point by the radius from the origin and an angle measured from the x-axis. We can convert between polar and cartesian coordinates very easily and demonstrate it here.

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**2023-02-14**| Here we discuss a new discovery of a mantle plume on Mars. Mars was thought to be a dead planet, but appears to have active activity in the mantle below the surface to this day.

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**2023-02-13**| Bananas are very slightly radioactive - but don't worry. It isn't enough to be harmful!

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**2023-02-13**| Here we discuss escape velocity of a spacecraft leaving the gravitational field of another planet. Every planet has an orbital speed and and an escape speed. All orbits are actually elliptical in shape. If we continue to add energy to an orbiting object, the ellipse will get larger and larger and eventually the shape will change from an ellipse to a parabola. all orbital shapes are actually conic sections. We discuss what conic sections are and how orbits work.

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**2023-02-12**| Birth of a new Star System has been imaged by James Webb Space Telescope!

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**2023-02-11**| Phobos has been imaged in great detail and we discuss the findings of the largest moon of Mars here.

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**2023-02-10**| Here we discuss the fact that there are more trees than stars in our milky way galaxy.

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**2023-02-10**| In this lesson, you will learn how electric fields work and how and why they cause forces on charged particles. In electromagnetic theory, charged particles create electric fields throughout space. These fields exert forces on any charged particles that exist in the fields. A disturbance takes time to propagate throughout the field. We examine how these electric fields occur and how to calculate the field and the force on a charged particle in the field.

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**2023-02-09**| Iron Nickel meteorite found on mars by the mars rover.

**2023-02-08**| In this lesson, I demonstrate how ping pong balls and an hair dryer can demonstrate the Bernoulli Principle. The high speed air around the ping pong ball creates a low pressure region. The high pressure region around this then forces the ball to stay in place. #science #physics

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**2023-02-08**| In this lesson, we will learn how acids are named and practice naming acids. We will cover the common acids such as hydrochloric acid and sulfuric acid, as well as the lesser known acids. We will also use the table of polyatomic ions to help is with the naming convention.

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**2023-02-07**| New research in robotics demonstrate a winged robot that can land like a bird. This is a new development in electrical engineering and robotics design. It also relies heavily on control systems theory.

**2023-02-06**| ...

**2023-02-06**| In this lesson, we will learn what acceleration and g-forces are and why they occur. We discuss acceleration in everyday life and the g-force on different planets, before solving problems to calculate acceleration.

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**2023-02-06**| Shock wave in front of a fighter jet.

**2023-02-02**| Here we discuss how to find the inverse of a matrix. In order to do this, we perform the calculation and arrive at what we call the inverse matrix, which is a matrix, when multiplied by the original matrix, yields a matrix with diagonal 1's. This is called the multiplicative inverse.

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**2023-02-01**| Here we demonstrate and understand supercooled water, which is water which has been cooled below the freezing point, yet remains a liquid. When supercooled water experiences a shock, it rapidly changes from liquid to solid.

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**2023-01-31**| Here we learn how to graph a function or equations using an input/output table. The input of the function are the x-values. The output is then calculated to be a function of the input. The input is called the independent variable and the output is the dependent variable.